双线性

It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。

The applications of the theory in robot translation parameter computation and in Qualitative Scene Model construction are presented.(3) Intrinsic Images and color constancy of Real Color Images Based on the Dichromatic Reflection Model proposed by Klinker [55] , it is the NO. 1 for this paper to measure the spectral relationship of a CCD color camera, to reestablish the linear relationship, to separate the illuminant and object color components in real color images, and to extract the intrinsic image and highlight image from the real color image, as well as to eliminate the influences of highlights upon the usual image segmentation algorithm.

以Klinker[55]等提出的"双色反射模型"为基础，首次测定了彩色摄像机的光强----灰度响应关系，恢复了摄像机的整体线性关系；首次在真实彩色图像（即由彩色摄像机直接获取的图像）中成功地分离了光照和景物的颜色；成功地抽取了本色图像和耀斑图像；在此基础上，又将双色反射模型成功地运用到真实彩色图像的分割方面，消除了耀斑对分割的影响。

The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy; at the same time, relationship between logarithmic hyperbolic sine of its flow stre...

研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；其热压缩塑性变形时流变应力的双曲正弦对数项与绝对温度倒数之间满足线性关系，其高温压缩变形受热激活能的控制。

A dynamic model was developed with kinematic differential equation derived for a dual-disc over-hung rotor system with rub-impact fault. The stability of the system and stability regions were studied by setting up nonsingular linear transform matrix and by use of Jacobi matrix in combination with the theory of Routh Hurwitz. Then, the effects on the stability regions of the system were discussed with relevant parameters.

建立了悬臂双盘碰摩转子系统的动力学模型和运动微分方程，通过创建该系统的非奇异线性变换矩阵并利用变换矩阵的Jacobi矩阵结合Routh Hurwitz理论，研究了悬臂双盘碰摩转子系统的稳定性和稳定区域，并进行了相应的参数讨论。

This paper, based on the secong approach, presents a new efficient algorithm to design symmetric bi-orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra, which bi-orthogonalizes the polyphase matrix line by line.

本文基于第二种思路结合计算代数中Groebner基和合冲模的思想和算法提出了一种同时具有任意正则阶和线性相位性质的M带双正交小波的新型高效构造算法，其中采用多相位矩阵逐行双正交化的方法。

The feedback controls, including linear, speed, doubly-periodic function, hyperbolic function and trigonometric function are used to suppress chaos to one of the three unstable equilibrium. The Routh-Hurwtiz theorem is applied to derive the conditions of stability of the controlled system.

利用反馈控制方法，包括线性、速度、双周期函数、双曲函数和三角函数反馈控制方法将系统的混沌运动控制到稳定态，根据Routh-Huriwtz准则获得了系统达到控制目标时反馈系数所满足的条件。

Part 6 explores the reaction system containing O-phthalate, Mn〓 and α,α'-diimine, and yields six novel complexes 16～20 possessing binuclear and tetranuclear matello-crown aether as well as 1-D linear structures, indicating that O-phthalate is a potentially useful ligand to give manganese species in a discrete form.

研究了邻苯二甲酸/锰/双齿亚胺（2，2'-联吡啶和1，10-邻二氮杂菲）的反应体系，合成出6个新颖的双核、四金属冠醚和一维线性结构的化合物16至20，表明邻苯二甲酸是合成有限核数锰簇的有用配体。

The applications of the theory in robot translation parameter computation and in Qualitative Scene Model construction are presented.(3) Intrinsic Images and color constancy of Real Color Images Based on the Dichromatic Reflection Model proposed by Klinker [55] , it is the NO. 1 for this paper to measure the spectral relationship of a CCD color camera, to reestablish the linear relationship, to separate the illuminant and object color components in real color images, and to extract the intrinsic image and highlight image from the real color image, as well as to eliminate the influences of highlights upon the usual image segmentation algorithm.

以Klinker[55]等提出的&双色反射模型&为基础，首次测定了彩色摄像机的光强----灰度响应关系，恢复了摄像机的整体线性关系；首次在真实彩色图像（即由彩色摄像机直接获取的图像）中成功地分离了光照和景物的颜色；成功地抽取了本色图像和耀斑图像；在此基础上，又将双色反射模型成功地运用到真实彩色图像的分割方面，消除了耀斑对分割的影响。

In this paper, model of vehicle with double axes is used to study the vibrations of vehicle-bridge dynamic interaction system. The active control law based on linear optimal control theory is designed, In which the transient power flow and displacement at mid-span of bridge are accounted separately.

本文采用能更加逼近真实车辆的双轴车辆模型，应用线性最优控制理论，采用可有效控制一阶振型的双臂弯矩控制系统，分别以双轴车辆输入桥梁的瞬时功率流和桥梁的跨中位移振动响应为目标函数来设计控制律。

In this paper ,The inertia load disturbance is included in the double loop DC motor control system, Analysis of the load moment of inertia and The width of the linear area of nonlinear saturation relationship,use the method of "quasi-equivalent" modeling to model the nonlinear state space of the DLM with variable load,tested the speed response of the real system, and used an improved genetic algorithm to accurately identify the model's parameters.

本文将惯量负载的扰动纳入直流电机双闭环调速系统，分析了负载转动惯量与饱和非线性的线性域宽度λ的关系，运用&类等效&建模的方法，建立了变负载直流电机双闭环调速系统非线性状态空间模型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新